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Finding the Fourth Proportional to 9,750.16, 14,600.94 and 5,857.30

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Solution

The fourth proportional to 9,750.16, 14,600.94 and 5,857.30 is: 8,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.16 : 14,600.94 = 5,857.30 : x
  2. Step 2: Convert to fraction form
    9,750.16/14,600.94 = 5,857.30/x
  3. Step 3: Cross multiply
    9,750.16x = 14,600.94 × 5,857.30
  4. Step 4: Simplify right side
    9,750.16x = 85,522,085.86
  5. Step 5: Solve for x
    x = 85,522,085.86/9,750.16
  6. Step 6: Final answer
    x = 8,771.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.